Albert Einstein (1879 - 1955), "Geometry and Experience", January 27, 1921"As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."
Discrete mathematics is the study
structural mathematics fundamentally focusing in the study of objects which are
finite and infinite. Therefore, study of continuous mathematics such as
“calculus” and “algebra” are different from the study of discrete mathematics.
Often in time, the structures behind a mathematical theorem and logics will be
elaborated in this course, and students are required to define or even
construct a new theorem based on the learned topics. Thus, mathematical
reasoning is prioritized so as to read, understand, and define mathematical
arguments and statements using methods of proof. These concepts are often
useful in studying and solving problems related to computer science and logic,
such as automata theory, cryptography, software testing, software development
and programming languages using proposed algorithms based on the proven
theories.
